Analysis of the roughness regimes for micropolar fluids via homogenization
We study the asymptotic behavior of micropolar fluid flows in a thin domain of thickness $\eta_\varepsilon$ with a periodic oscillating boundary with wavelength $\varepsilon$. We consider the limit when $\varepsilon$ tends to zero and, depending on the limit of the ratio of $\eta_\varepsilon/\vareps...
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| Format: | article |
| Status: | Versión aceptada para publicación |
| Publication Date: | 2021 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/162346 |
| Online Access: | https://hdl.handle.net/11441/162346 https://doi.org/10.1007/s40840-020-01027-1 |
| Access Level: | Open access |
| Keyword: | Homogenization micropolar fluid flow Reynolds equation thin-film fluid |
| Summary: | We study the asymptotic behavior of micropolar fluid flows in a thin domain of thickness $\eta_\varepsilon$ with a periodic oscillating boundary with wavelength $\varepsilon$. We consider the limit when $\varepsilon$ tends to zero and, depending on the limit of the ratio of $\eta_\varepsilon/\varepsilon$, we prove the existence of three different regimes. In each regime, we derive a generalized Reynolds equation taking into account the microstructure of the roughness. |
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